FG-GP 增强旋转预扭曲复合材料层压叶片在横向空气动力和参数激励共同作用下的共振响应和双参数多脉冲混沌动力学特性

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2024-11-14 DOI:10.1016/j.chaos.2024.115725

Y.Z. Lian , W. Zhang , Y.F. Zhang

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引用次数: 0

摘要

在横向空气动力和轴向激励的共同作用下，新型功能格栅石墨烯平板（FG-GP）增强旋转预扭曲复合材料层压叶片可能会表现出强烈的非线性振动。这些非线性振动是导致旋转预扭曲复合材料层压叶片整体失效的主要原因。本文在新型 FG-GP 增强旋转预扭曲复合材料层叠叶片非线性动力学模型的基础上，首次研究了旋转预扭曲复合材料层叠叶片的共振响应、阈值面、全局分岔和双参数多脉冲混沌动力学。考虑到主要参数共振和 1:1 内部共振，利用多尺度扰动（MSP）方法推导出了新型 FG-GP 增强旋转预扭曲复合材料层压叶片的平均方程。得到了振幅-频率和力-振幅响应曲线，从而分析了新型 FG-GP 增强旋转预扭曲复合材料层压叶片的共振响应。采用扩展梅利尼科夫法探讨了新型 FG-GP 增强旋转预扭曲复合材料层压叶片在横向气动力和轴向激励联合作用下的阈值面、全局分岔和双参数多脉冲混沌动力学特性。通过理论分析和数值模拟，发现新型 FG-GP 增强旋转预扭曲复合材料层叠叶片具有硬弹簧特性。气泡响应形状的出现证明了二阶模态之间的能量传递。研究了新型 FG-GP 增强旋转预扭曲复合材料层压叶片在不同参数影响下的复杂双参数多脉冲混沌振动。这些结果对新型 FG-GP 增强旋转预扭复合材料层压叶片的优化设计具有重要的理论指导意义。

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Resonant responses and double-parameter multi-pulse chaotic dynamics of FG-GP reinforced rotating pre-twisted composite laminated blade under combined transverse aerodynamic force and parametric excitations

The new functionally grated graphene platelets (FG-GP) reinforced rotating pre-twisted composite laminated blade may exhibit strong nonlinear vibrations under combined the transverse aerodynamic force and axial excitation. These nonlinear vibrations are major contributors to the overall failure of the rotating pre-twisted composite laminated blade. In this paper, the resonant responses, threshold surface, global bifurcations and double-parameter multi-pulse chaotic dynamics of the rotating pre-twisted composite laminated blade are investigated on the basis of the nonlinear dynamic model of the new FG-GP reinforced rotating pre-twisted composite laminated blade for the first time. Considering the primary parametric and 1:1 internal resonances, the averaged equations for the new FG-GP reinforced rotating pre-twisted composite laminated blade are derived by using the multiple scale perturbation (MSP) method. The amplitude-frequency and force-amplitude response curves are obtained to analyze the resonant responses of the new FG-GP reinforced rotating pre-twisted composite laminated blade. The extended Melnikov method is used to explore the threshold surface, global bifurcations and double-parameter multi-pulse chaotic dynamics of the new FG-GP reinforced rotating pre-twisted composite laminated blade under combined the transverse aerodynamic force and axial excitation. Through the theoretical analysis and numerical simulation, it is discovered that the new FG-GP reinforced rotating pre-twisted composite laminated blade exhibits the hard spring characteristics. The energy transfers between two-order modes are proved by the occurrence of the bubble response shape. The complex double-parameter multi-pulse chaotic vibrations are investigated for the new FG-GP reinforced rotating pre-twisted composite laminated blade under the influence of different parameters. These results have the significant theoretical guidance for the optimized design of the new FG-GP reinforced rotating pre-twisted composite laminated blade.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.